What does story have to do with what quests entail? Most quests in most RPGs fit into the fetch catagory. And I couldn't care less.
Which is why you're bothering to reply, eh? Right.
And really? Okay, I'll spell it out for you: Quests are stories.
RPGs can involve killing this or that person, finding out about this or that thing, running away from this or that thing, going to this or that place, etc. etc.
Wow. It turns out, just like other kinds of media, an RPG have a large number of permutations, and doesn't consist of fetch quests.
Shock. Horror. Gasp.